Newton's Law of Universal Gravitation - Tutorial, Example, Formula

The Newton's law of gravity is also termed as Newton's law of universal gravitation. The physics law is given by the scientist Sir Isaac Newton. In modern language, the law states: Every point mass attracts every single other point mass by a force pointing along the line intersecting both points. Newton's law of gravitation resembles Coulomb's law of electrical forces. This is a tutorial page on Newton's Law of Gravity to learn about its definition, formula and an example problem.

Learn Newton's Law of Gravity

Newton's Law:

Newton's Law of Gravity states that 'Every particle attracts every other particle with a force that is proportional to the product of their masses and inversely proportional to the distance between them.

Newton's Law of Gravity Formula:

Gravitational Force:
Mass of Object 1:
Mass of Object 2:
Distance Between the Objects:
where,

G = Universal Gravitational Constant = 6.6726 x 10-11N-m2/kg2 m1 = Mass of Object 1 m2 = Mass of Object 2 r = Distance Between the Objects.

Newton's Law of Gravity Examples:

Case 1:

Determine the force of gravitational attraction between the earth 5.98 x 1024 kg and a 70 kg boy who is standing at sea level, a distance of 6.38 x 106 m from earth's center. m1 = 5.98 x 1024 kg, m2 = 70 kg, r = 6.38 x 106 m, G = 6.6726 x 10-11N-m2/kg2

Substitute the values in the below Gravitational Force formula:

This example will guide you to calculate the Gravitational Force manually.

Case 2:

Find the mass of one object if the magnitude of the gravitational force acting on each particle is 2 x 10-8, the mass of other object is 25 kg and the objects are 1.2 meters apart F = 2 x 10-8, m2 = 25 kg, r = 1.2 m, G = 6.6726 x 10-11N-m2/kg2.

Substitute the values in the below Mass formula:

This example will guide you to calculate the Mass of the object manually.

This tutorial will help you dynamically to find the Newton's Law of Gravity problems.


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